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Finding the Fourth Proportional to 32,194.92, 44,426.04 and 18,045

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Solution

The fourth proportional to 32,194.92, 44,426.04 and 18,045 is: 24,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.92 : 44,426.04 = 18,045 : x
  2. Step 2: Convert to fraction form
    32,194.92/44,426.04 = 18,045/x
  3. Step 3: Cross multiply
    32,194.92x = 44,426.04 × 18,045
  4. Step 4: Simplify right side
    32,194.92x = 801,667,891.80
  5. Step 5: Solve for x
    x = 801,667,891.80/32,194.92
  6. Step 6: Final answer
    x = 24,900.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.